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Finding the Fourth Proportional to 2,966.77, 4,450.14 and 775.45

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Solution

The fourth proportional to 2,966.77, 4,450.14 and 775.45 is: 1,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.77 : 4,450.14 = 775.45 : x
  2. Step 2: Convert to fraction form
    2,966.77/4,450.14 = 775.45/x
  3. Step 3: Cross multiply
    2,966.77x = 4,450.14 × 775.45
  4. Step 4: Simplify right side
    2,966.77x = 3,450,861.06
  5. Step 5: Solve for x
    x = 3,450,861.06/2,966.77
  6. Step 6: Final answer
    x = 1,163.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.